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2212221112002 = 2321116766903197
BaseRepresentation
bin100000001100010010101…
…001110100111011000010
321211111010111022100110100
4200030102221310323002
5242221112101041002
64412140315543230
7315553621123146
oct40142251647302
97744114270410
102212221112002
1178321a166350
122b88b045ab16
131307c4784965
1479101aa9226
153c8292ec11c
hex20312a74ec2

2212221112002 has 48 divisors (see below), whose sum is σ = 5260197039552. Its totient is φ = 666355832160.

The previous prime is 2212221111949. The next prime is 2212221112043. The reversal of 2212221112002 is 2002111222122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33418533 + ... + 33484664.

It is an arithmetic number, because the mean of its divisors is an integer number (109587438324).

Almost surely, 22212221112002 is an apocalyptic number.

2212221112002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2212221112002 is an abundant number, since it is smaller than the sum of its proper divisors (3047975927550).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2212221112002 is a wasteful number, since it uses less digits than its factorization.

2212221112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66903383 (or 66903380 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2212221112002 its reverse (2002111222122), we get a palindrome (4214332334124).

The spelling of 2212221112002 in words is "two trillion, two hundred twelve billion, two hundred twenty-one million, one hundred twelve thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 167 198 334 501 1002 1503 1837 3006 3674 5511 11022 16533 33066 66903197 133806394 200709591 401419182 602128773 735935167 1204257546 1471870334 2207805501 4415611002 6623416503 11172833899 13246833006 22345667798 33518501697 67037003394 100555505091 122901172889 201111010182 245802345778 368703518667 737407037334 1106110556001 2212221112002